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Finding the Fourth Proportional to 6,780.72, 10,143 and 6,366

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Solution

The fourth proportional to 6,780.72, 10,143 and 6,366 is: 9,522.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.72 : 10,143 = 6,366 : x
  2. Step 2: Convert to fraction form
    6,780.72/10,143 = 6,366/x
  3. Step 3: Cross multiply
    6,780.72x = 10,143 × 6,366
  4. Step 4: Simplify right side
    6,780.72x = 64,570,338
  5. Step 5: Solve for x
    x = 64,570,338/6,780.72
  6. Step 6: Final answer
    x = 9,522.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.